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Finding the Third Proportional to 645,906 and 961,467

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Solution

The third proportional to 645,906 and 961,467 is: 1,431,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,906 : 961,467 = 961,467 : x
  2. Step 2: Convert to fraction form
    645,906/961,467 = 961,467/x
  3. Step 3: Cross multiply
    645,906x = 961,467 × 961,467
  4. Step 4: Simplify right side
    645,906x = 924,418,792,089
  5. Step 5: Solve for x
    x = 924,418,792,089/645,906
  6. Step 6: Final answer
    x = 1,431,197.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.